Using the Regression line y =90 + 50x, fill up the values in the table below

SAMPLE No. (i)	12	21	15	1	24
	0.96	1.28	1.65	1.84	2.35
	138	160	178	190	210
	138	-	-	-	-
	0	-	-	-	-

After filling the table, compute the parameters of Goodness to fit i.e. R and R2 . Based on the result of R and R2 , interpret the correlation between variable x and y.

What do you understand by the term forecasting? With the help of a suitable example discuss the relation between forecasting and future planning. Briefly discuss both forecasting model.

A Manager of a car company wants to estimate the relationship between age of cars and annual

maintenance cost. The following data from six cars of same model are obtained as:

(a) Construct a scatter diagram for the data given above.

(b) Fit a best linear regression line, by considering annual maintenance cost as the dependent variable and the age of the car as the independent variable.

(c) Use this regression line to predict the annual maintenance cost for the car of age 8 years.

A problem of statistics is given to three students A, B and C whose chances of solving it are 0.3, 0.5 and 0.6 respectively. What is the probability that the problem will be solved?

(i) 3 defectives in a sample of 100

(ii) no defectives in a sample of 50

A computer chip manufacturer claims that at most 2% of the chips it produces are defective.

To check the claim of the manufacturer, a researcher selects a sample of 250 of these chips. If there are eight defective chips among these 250, test the null hypothesis that more than 2% of the chips are defective at 5% level of significance. Does this disprove the manufacturer's claim? (Given that Zooς = 1.645)

A random sample of size 64 has been drawn from a population with standard deviation 20. The mean of the sample is 80.

(i) Calculate 95% confidence limits for the population mean.

(ii) How does the width of the confidence interval change if the sample size is 256 instead?

B) A population consists of the numbers 2, 5, 7, 8 and 10. Write all possible simple random samples of size 3 (without replacement). Verify that the sample mean is an unbiased estimator of the population mean

In a partially destroyed laboratory, the legible record of analysis of correlation of data, is as follows: 10

Variance of x = 9, Regression equations:

8x-10y+66=0

4x-18y-214-0

What were (a) the means of x and y, (b) the coefficient of correlation between x and y and (c) the standard deviation of y?

Explain leaky bucket algorithm for congestion control. Also list its advantages and disadvantages.

Write the step-by-step working of Link State Routing. Also, compare it with Distance Vector Routing.

Explain the importance of Sliding Window Protocol. Also, list the types of sliding window techniques.

Differentiate between pure ALOHA and slotted ALOHA. Give formulas for their throughput.

Differentiate between public key cryptography and private-key cryptography. Assume two prime numbers p and q are 13 and 17 respectively. Calculate private key and public key using RSA algorithm.

Given data frame is 1101011011 and generator polynomial G(x) = x²+ x + 1. Derive the transmitted frame using CRC method. Write all the steps involved in the process

Differentiate between circuit switching and virtual circuit. Also explain the effect of router failure in virtual circuits.

Compare between CSMA/CD and Ethernet protocol. How does CSMA/CD resolve the problem of line connection? Explain.

What is Windowing? How is flow control and reliability achieved through windowing at transport layer?

What is better for computer communication-analog or digital? Justify your answer.

What is Ad hoc Wireless Communication System? Explain.

Compare POP and IMAP.

Differentiate between parallel and serial communication. Give an example of each.